C + 2H2 = CH4 is the overall reaction
But it wouldn't work in reality you would get many hydrocarbons not just methane.
So it would be:
Combustion: C -> CO2
Combusion: 2H2 -> 2H2O
Then CO2 + 2H2O -> CH4
The first reaction is only one step but isn't possible. So in reality people would use the second method consisting of three different steps to do this, but overall they both use the same amount of energy/the enthalpy change is the same overall.